Write the expanded and standard notation for the following numbers: a) 785, b) 444, c) 634, d) 916, e) 874, f) 570 and a) 900+60+7, b) 300+40+5, c) 500+7, d) 600+20+8, e) 300+20, f) 200+3.

Here are the solutions for the problems.

5. Write the expanded notation for the following numbers.

a) For 785:

$$785 = 700 + 80 + 5$$

The expanded notation is $\boxed{\text{700 + 80 + 5}}$.

b) For 444:

$$444 = 400 + 40 + 4$$

The expanded notation is $\boxed{\text{400 + 40 + 4}}$.

c) For 634:

$$634 = 600 + 30 + 4$$

The expanded notation is $\boxed{\text{600 + 30 + 4}}$.

d) For 916:

$$916 = 900 + 10 + 6$$

The expanded notation is $\boxed{\text{900 + 10 + 6}}$.

e) For 874:

$$874 = 800 + 70 + 4$$

The expanded notation is $\boxed{\text{800 + 70 + 4}}$.

f) For 570:

$$570 = 500 + 70 + 0$$

The expanded notation is $\boxed{\text{500 + 70 + 0}}$.

6. Write the standard notation for the following.

a) For $900 + 60 + 7$:

$$900 + 60 + 7 = 967$$

The standard notation is $\boxed{\text{967}}$.

b) For $300 + 40 + 5$:

$$300 + 40 + 5 = 345$$

The standard notation is $\boxed{\text{345}}$.

c) For $500 + 7$:

$$500 + 7 = 507$$

The standard notation is $\boxed{\text{507}}$.

d) For $600 + 20 + 8$:

$$600 + 20 + 8 = 628$$

The standard notation is $\boxed{\text{628}}$.

e) For $300 + 20$:

$$300 + 20 = 320$$

The standard notation is $\boxed{\text{320}}$.

f) For $200 + 3$:

$$200 + 3 = 203$$

The standard notation is $\boxed{\text{203}}$.